Question

x/x+1+x+1/x=13/6(quadratic)

Answer 1

Answer:

x/(x+1) + (x+1)/x = 13/6

=> x^2 + (x+1)^2/x(x+1) = 13/6

=> 6(2x^2+2x+2) = 13(x^2+x)

=> 12x^2 + 12x + 12 = 13x^2 + 13x

=> x^2+x-12 =0

=> x^2 +4x - 3x - 12 =0

=> x(x+4)-3(x+4)=0

=> (x+4)(x-3)=0

=> x = - 4,3